ARRIETA, JOSE M.; CARVALHO, ALEXANDRE N.; PEREIRA, MARCONE C.; SILVA, RICARDO P.. Semilinear parabolic problems in thin domains with a highly oscillatory boundary.** NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS**, v. 74, n. 15, p. 5111-5132, 2011. (10/18790-0)

PEREIRA, MARCONE C.; SILVA, RICARDO P.. ERROR ESTIMATES FOR A NEUMANN PROBLEM IN HIGHLY OSCILLATING THIN DOMAINS.** DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS**, v. 33, n. 2, p. 803-817, FEB 2013. (10/18790-0, 12/06753-8)

ARRIETA, JOSE M.; NOGUEIRA, ARIADNE; PEREIRA, MARCONE C.. NONLINEAR ELLIPTIC EQUATIONS WITH CONCENTRATING REACTION TERMS AT AN OSCILLATORY BOUNDARY.** DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B**, v. 24, n. 8, SI, p. 4217-4246, AUG 2019. (17/02630-2)

NAKASATO, JEAN CARLOS; PAZANIN, IGOR; PEREIRA, MARCONE CORREA. Roughness-induced effects on the convection-diffusion-reaction problem in a thin domain.** APPLICABLE ANALYSIS**, v. 100, n. 5, JUN 2019. (17/02630-2)

ARRIETA, JOSE M.; NOGUEIRA, ARIADNE; PEREIRA, MARCONE C.. Semilinear elliptic equations in thin regions with terms concentrating on oscillatory boundaries.** COMPUTERS & MATHEMATICS WITH APPLICATIONS**, v. 77, n. 2, p. 536-554, JAN 15 2019. (17/02630-2)

CAPANNA, MONIA; NAKASATO, JEAN C.; PEREIRA, MARCONE C.; ROSSI, JULIO D.. HOMOGENIZATION FOR NONLOCAL PROBLEMS WITH SMOOTH KERNELS.** DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS**, v. 41, n. 6, p. 2777-2808, JUN 2021. (20/04813-0)

PEREIRA, MARCONE; OLIVA, SERGIO; SARTORI, LARISSA. Time-scale analysis nonlocal diffusion systems, applied to disease models.** MATHEMATICAL METHODS IN THE APPLIED SCIENCES**, v. 43, n. 15, MAY 2020. (19/06221-5, 17/02630-2)

PEREIRA, MARCONE C.; ROSSI, JULIO D.. Nonlocal problems in perforated domains.** PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS**, v. 150, n. 1, p. 305-340, FEB 2020. (15/17702-3, 17/02630-2)

PEREIRA, MARCONE C.. Parabolic problems in highly oscillating thin domains.** Annali di Matematica Pura ed Applicata**, v. 194, n. 4, p. 1203-1244, AUG 2015. (13/22275-1)

BARBOSA, PRICILA S.; PEREIRA, ANTONIO L.; PEREIRA, MARCONE C.. Continuity of attractors for a family of C-1 perturbations of the square.** Annali di Matematica Pura ed Applicata**, v. 196, n. 4, p. 1365-1398, AUG 2017. (13/22275-1)

PEREIRA, MARCONE C.; SASTRE-GOMEZ, SILVIA. Nonlocal and nonlinear evolution equations in perforated domains.** Journal of Mathematical Analysis and Applications**, v. 495, n. 2, MAR 15 2021. (17/02630-2)

ARRIETA, JOSE M.; CARLOS NAKASATO, JEAN; CORREA PEREIRA, MARCONE. The p-Laplacian equation in thin domains: The unfolding approach.** Journal of Differential Equations**, v. 274, p. 1-34, FEB 15 2021. (20/04813-0)

BENGURIA, RAFAEL D.; PEREIRA, MARCONE C.. Remarks on the spectrum of a non-local Dirichlet problem.** BULLETIN OF THE LONDON MATHEMATICAL SOCIETY**, v. 53, n. 6, NOV 2021. (19/06221-5)

PAZANIN, IGOR; PEREIRA, MARCONE C.. ON THE NONLINEAR CONVECTION-DIFFUSION-REACTION PROBLEM IN A THIN DOMAIN WITH A WEAK BOUNDARY ABSORPTION.** COMMUNICATIONS ON PURE AND APPLIED ANALYSIS**, v. 17, n. 2, p. 579-592, MAR 2018. (13/22275-1)

LOPES, PEDRO T. P.; PEREIRA, MARCONE C.. Dynamical boundary conditions in a non-cylindrical domain for the Laplace equation.** Journal of Mathematical Analysis and Applications**, v. 465, n. 1, p. 379-402, SEP 1 2018. (16/07016-8, 17/02630-2)

PEREIRA, MARCONE C.. Nonlocal evolution equations in perforated domains.** MATHEMATICAL METHODS IN THE APPLIED SCIENCES**, v. 41, n. 16, p. 6368-6377, NOV 15 2018. (17/02630-2)

PAZANIN, I.; PEREIRA, M. C.; SUAREZ-GRAU, F. J.. Asymptotic Approach to the Generalized Brinkman's Equation with Pressure-Dependent Viscosity and Drag Coefficient.** JOURNAL OF APPLIED FLUID MECHANICS**, v. 9, n. 6, p. 3101-3107, 2016. (13/22275-1)

PEREIRA, MARCONE CORREA. Asymptotic analysis of a semilinear elliptic equation in highly oscillating thin domains.** ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK**, v. 67, n. 5, OCT 2016. (13/22275-1)

ARAGAO, GLEICIANE S.; PEREIRA, ANTONIO L.; PEREIRA, MARCONE C.. Attractors for a Nonlinear Parabolic Problem with Terms Concentrating on the Boundary.** Journal of Dynamics and Differential Equations**, v. 26, n. 4, p. 871-888, DEC 2014. (10/18790-0)

BROCHE, RITA DE CASSIA D. S.; PEREIRA, MARCONE C.. Generic hyperbolicity of stationary solutions for a reaction-diffusion system.** NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS**, v. 72, n. 12, p. 4638-4648, JUN 15 2010. (06/06278-7)

BARROS, SAULO R. M.; PEREIRA, MARCONE C.. Semilinear elliptic equations in thin domains with reaction terms concentrating on boundary.** Journal of Mathematical Analysis and Applications**, v. 441, n. 1, p. 375-392, SEP 1 2016. (13/22275-1)

ARRIETA, JOSE M.; PEREIRA, MARCONE C.. The Neumann problem in thin domains with very highly oscillatory boundaries.** Journal of Mathematical Analysis and Applications**, v. 404, n. 1, p. 86-104, AUG 1 2013. (11/08929-3, 10/18790-0)

PEREIRA, MARCONE C.. Remarks on semilinear parabolic systems with terms concentrating in the boundary.** Nonlinear Analysis: Real World Applications**, v. 14, n. 4, p. 1921-1930, AUG 2013. (10/18790-0)

PEREIRA, MARCONE C.; ROSSI, JULIO D.. An Obstacle Problem for Nonlocal Equations in Perforated Domains.** POTENTIAL ANALYSIS**, v. 48, n. 3, p. 361-373, APR 2018. (15/17702-3)

NOGUEIRA, ARIADNE; NAKASATO, JEAN CARLOS; PEREIRA, MARCONE CORREA. Concentrated reaction terms on the boundary of rough domains for a quasilinear equation.** Applied Mathematics Letters**, v. 102, APR 2020. (17/02630-2)

NAKASATO, JEAN CARLOS; PEREIRA, MARCONE CORREA. A CLASSICAL APPROACH FOR THE p-LAPLACIAN IN OSCILLATING THIN DOMAINS.** TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS**, v. 58, n. 1, p. 209-231, SEP 2021. (20/04813-0)